Acronym  ... 
Name  2geihid (?) 
Circumradius  (sqrt(5)1)/2 = 0.618034 
Vertex figure  2[3/2,10/3,3,10/3] 
General of army  id 
Colonel of regiment  gid 
Confer 

Looks like a compound of 2 great icosihemidodecahedron (geihid), and indeed vertices, edges, and faces all coincide by pairs.
Incidence matrix according to Dynkin symbol
o3/2x5/3x3*a . . .  60  2 2  2 1 1 +++ x . .  2  60 *  1 1 0 . x .  2  * 60  1 0 1 +++ x3/2x .  6  3 3  20 * * x . o3*a  3  3 0  * 20 * . x5/3o  5  0 5  * * 12
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